Guidelines for Implicit Differentiation: Suppose \(y\) is defined implicitly as a function of \(x\).
- Differentiate both sides of the equation with respect to \(x\).
- Collect all terms involving \(dy/dx\) on the left side of the equation and move all other terms to the right side of the equation.
- Factor \(dy/dx\) out of the left side of the equation.
- Solve for \(dy/dx\).